fgh -Convex Functions and Entropy Bounds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-02 DOI:10.1080/01630563.2023.2261742

Yamin Sayyari, Mehdi Dehghanian

引用次数: 0

Abstract

AbstractIn this paper, we introduce an universal definition (fgh-convex) that results in several types of convexity. Particular cases of the fgh-convex are for instance the harmonically convex, geometrically convex, GA-convex, log-convex, and several others. Also, we obtain some useful inequalities such as Jensen, generalization of Jensen Hermite-Hadamard, Mercer inequalities. Moreover, with the use of these inequalities, we obtained bounds for Shannon’s entropy and Kapur’s entropy. Finally, we found an application of the obtained inequalities in means.KEYWORDS: fgh-convex functionJensens inequalityKapur’s entropyShannon’s entropy2010 MATHEMATICS SUBJECT CLASSIFICATION: Primary: 26B2526D20 Disclosure statementThe authors declare that they have no competing interests.

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fgh -凸函数和熵界

摘要在本文中，我们引入了一个通用的定义(fgh-convex)，从而产生了几种类型的凸性。战斗凸的特殊情况有调和凸、几何凸、ga凸、对数凸等。此外，我们还得到了一些有用的不等式，如Jensen不等式，Jensen Hermite-Hadamard不等式的推广，Mercer不等式。此外，利用这些不等式，我们得到了Shannon熵和Kapur熵的界。最后，我们找到了所得不等式在均值中的一个应用。关键词:反凸函数jensen不等式kapur熵shannon熵2010数学学科分类:初级:26B2526D20公开声明作者声明他们没有竞争利益。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.